Non-weight representations of Cartan type S Lie algebras

Abstract

For the two Cartan type S subalgebras of the Witt algebra $\W_n$, called Lie algebras of divergence-zero vector fields, we determine all module structures on the universal enveloping algebra of their Cartan subalgebra $\h_n$. We also give all submodules of these modules.

22 pages

References in corpus (3)

• Simple sl_{n+1}-module structures on U(h)
• $\mathcal{U}(\mathfrak{h})$-free modules and coherent families
• New family of simple ${\mathfrak{gl}}_{2n}(\mathbb{C})$-modules

Cited by in corpus (1)

• Simple modules over the Lie algebras of divergence zero vector fields on a torus